Steps to Graph Exponential Equations & Absolute Value how to sketch: -e^(|-x-1|)+2

Meossi91

Meossi91

Open question

2022-08-17

Steps to Graph Exponential Equations & Absolute Value
how to sketch: e | x 1 | + 2
Can someone clarify:
| f ( x ) | : we draw f ( x ) and then reflect the ( y parts) in the x-axis
f | ( x ) | : we draw f ( x ) and then reflect the ( x parts) in the y-axis (symmetry on left and right hand side), can someone correct me here!
The Steps to sketch the above equation:
1.The original equation is e^x which then becomes e^|x| which shows to have undergone f|(x)|
2.We sketch -e^(-x-1) without applying the absolute value
3.Then we apply the absolute value, by reflecting along the turning point
4.Then we shift the graph up 2 units
so basically:
1.draw the e^x graph
2.apply the reflections/dilations/horizontal translations
3.apply f(|x|)
4.apply the vertical transformation
can someone correct me here.

Answer & Explanation

Dominique Mayer

Dominique Mayer

Beginner2022-08-18Added 10 answers

That would be graph for e | x | 1 + 2
What you want to do is check when is | x 1 | = 1 + x or 1 x and draw those 2 graphs separately.

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